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Finding the Fourth Proportional to 4,442.61, 6,657.24 and 3,514.35

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Solution

The fourth proportional to 4,442.61, 6,657.24 and 3,514.35 is: 5,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.61 : 6,657.24 = 3,514.35 : x
  2. Step 2: Convert to fraction form
    4,442.61/6,657.24 = 3,514.35/x
  3. Step 3: Cross multiply
    4,442.61x = 6,657.24 × 3,514.35
  4. Step 4: Simplify right side
    4,442.61x = 23,395,871.39
  5. Step 5: Solve for x
    x = 23,395,871.39/4,442.61
  6. Step 6: Final answer
    x = 5,266.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.